Area and Perimeter Worksheet
The method (Round and inside): Rectangle: area = l × b, perimeter = 2 × (l + b). Square: area = side × side, perimeter = 4 × side. Triangle: area = ½ × base × height. Circle (π = 22/7): area = π × r × r, circumference = 2 × π × r. Path outside a garden: (l + 2w) × (b + 2w) − l × b.
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- 1.A garden is 17 m long and 7 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 2.A triangle has a base of 27 cm and a height of 20 cm. What is its area (in sq cm)?
- 3.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 4.A rectangular field is 23 m long and 12 m wide. What is its area (in sq m)?
- 5.A rectangular field is 24 m long and 11 m wide. What is its area (in sq m)?
- 6.A triangle has a base of 28 cm and a height of 23 cm. What is its area (in sq cm)?
- 7.A triangle has a base of 25 cm and a height of 6 cm. What is its area (in sq cm)?
- 8.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 9.A garden is 34 m long and 24 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 10.A rectangle has an area of 629 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 11.A triangle has a base of 21 cm and a height of 4 cm. What is its area (in sq cm)?
- 12.A triangle has a base of 15 cm and a height of 20 cm. What is its area (in sq cm)?
- 13.A garden is 10 m long and 7 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 14.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 15.The perimeter of a square is 120 cm. What is its area (in sq cm)?
- 16.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 17.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 18.A rectangular field is 36 m long and 13 m wide. What is its area (in sq m)?
- 19.A triangle has a base of 28 cm and a height of 9 cm. What is its area (in sq cm)?
- 20.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 21.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 22.A rectangle has an area of 280 sq cm and a length of 35 cm. What is its perimeter (in cm)?
- 23.A rectangular field is 35 m long and 30 m wide. What is its area (in sq m)?
- 24.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 25.A garden is 21 m long and 14 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 26.A rectangular field is 25 m long and 18 m wide. What is its area (in sq m)?
- 27.A garden is 30 m long and 15 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 28.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 30.A garden is 27 m long and 10 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 31.A triangle has a base of 22 cm and a height of 24 cm. What is its area (in sq cm)?
- 32.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 33.A garden is 13 m long and 10 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 34.A rectangle has an area of 420 sq cm and a length of 21 cm. What is its perimeter (in cm)?
- 35.The perimeter of a square is 84 cm. What is its area (in sq cm)?
- 36.A park is 14 m long and 12 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 37.A park is 22 m long and 19 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 38.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 39.A rectangular field is 26 m long and 10 m wide. What is its area (in sq m)?
- 40.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
Answer key
- 180
- 270
- 154
- 276
- 264
- 322
- 75
- 30
- 248
- 108
- 42
- 150
- 38
- 841
- 900
- 220
- 2464
- 468
- 126
- 25
- 132
- 86
- 1050
- 176
- 156
- 450
- 306
- 264
- 88
- 78
- 264
- 1386
- 174
- 82
- 441
- 624
- 984
- 220
- 260
- 264
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